Question 1151957


equation of the line containing the given pair of points in​ point-slope form:

{{{y-y[1]=m(x-x[1])}}}

use given points to calculate slope:

​({{{1}}}​,{{{5​}}}) and ​({{{3​}}},{{{6}}}​)

{{{m=(y[2]-y[1])/(x[2]-x[1])}}}

{{{m=(6-5)/(3-1)}}}

{{{m=1/2}}}


so, {{{y-y[1]=(1/2)(x-x[1])}}}

use one point again; ({{{1}}}​,{{{5​}}})

 {{{y-5=(1/2)(x-1)}}}

{{{y=(1/2)(x-1)+5}}}

{{{y=(1/2)x-1/2+5}}}

{{{y=(1/2)x-1/2+10/2}}}

{{{y=(1/2)x+9/2}}}




{{{drawing ( 600, 600, -10, 10, -10, 10,
circle(1,5,.12),locate(1,5,p(1,5)),
circle(3,6,.12),locate(3,6,p(3,6)),
graph( 600, 600, -10, 10, -10, 10, (1/2)x+9/2)) }}}